# Find the Equation Using Slope-Intercept Form m=6/7 , (6,-3)

m=67 , (6,-3)
Find the value of b using the formula for the equation of a line.
Use the formula for the equation of a line to find b.
y=mx+b
Substitute the value of m into the equation.
y=(67)x+b
Substitute the value of x into the equation.
y=(67)⋅(6)+b
Substitute the value of y into the equation.
-3=(67)⋅(6)+b
Find the value of b.
Rewrite the equation as (67)⋅(6)+b=-3.
(67)⋅(6)+b=-3
Multiply (67)(6).
Combine 67 and 6.
6⋅67+b=-3
Multiply 6 by 6.
367+b=-3
367+b=-3
Move all terms not containing b to the right side of the equation.
Subtract 367 from both sides of the equation.
b=-3-367
To write -3 as a fraction with a common denominator, multiply by 77.
b=-3⋅77-367
Combine -3 and 77.
b=-3⋅77-367
Combine the numerators over the common denominator.
b=-3⋅7-367
Simplify the numerator.
Multiply -3 by 7.
b=-21-367
Subtract 36 from -21.
b=-577
b=-577
Move the negative in front of the fraction.
b=-577
b=-577
b=-577
b=-577
Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b to find the equation of the line.
y=67x-577
Find the Equation Using Slope-Intercept Form m=6/7 , (6,-3)